Traub's basin conjecture for polynomial root-finding maps
Let ppp be a polynomial of degree d≥2d\geq 2d≥2. Assume that p(α)=0p(\alpha)=0p(α)=0, and let Tp,1T_{p,1}Tp,1 be the corresponding Traub's map. Denote by A⋆(α)\mathcal A^{\star}(\alpha)A⋆(α) the basin of attr…